Math

QuestionCalculate and simplify: 118(518)\frac{1}{18}-\left(-\frac{5}{18}\right). What is the result?

Studdy Solution

STEP 1

Assumptions1. We are subtracting two fractions. . The fractions have the same denominator, which is18.
3. We need to simplify the result to its lowest terms.

STEP 2

In order to subtract fractions, they must have the same denominator. In this case, they do, so we can subtract the numerators.
118(518)=1(5)18\frac{1}{18}-\left(-\frac{5}{18}\right) = \frac{1 - (-5)}{18}

STEP 3

Subtracting a negative is the same as adding a positive. So, we can rewrite the expression as1(5)18=1+518\frac{1 - (-5)}{18} = \frac{1 +5}{18}

STEP 4

Now, perform the addition in the numerator.
1+18=618\frac{1 +}{18} = \frac{6}{18}

STEP 5

We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is.
18=/18/\frac{}{18} = \frac{/}{18/}

STEP 6

Perform the division in the numerator and the denominator.
6/618/6=13\frac{6/6}{18/6} = \frac{1}{3}So, the solution to the problem is 13\frac{1}{3}.

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